Positive solutions for some boundary value problems via a new fixed point theorem

Positive solutions for some boundary value problems via a new fixed point theorem

In this paper, we establish some new fixed point theorems of mixed monotone operator with a perturbation. Moreover, we prove the existence and the uniqueness of positive solutions of a second order Neumann boundary value problem, a second order Sturm Liouville boudary value problem and a nonlinear e...

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Veröffentlicht in:Positivity : an international journal devoted to the theory and applications of positivity in analysis 2015-09, Vol.19 (3), p.587-602
1. Verfasser: Hadj Amor, Sana
Format: Artikel
Sprache:eng
Schlagworte:
Banach spaces
Boundary value problems
Calculus of Variations and Optimal Control
Optimization
Econometrics
Fourier Analysis
Mathematics
Mathematics and Statistics
Operator Theory
Potential Theory
Studies
Theorems
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Zusammenfassung:In this paper, we establish some new fixed point theorems of mixed monotone operator with a perturbation. Moreover, we prove the existence and the uniqueness of positive solutions of a second order Neumann boundary value problem, a second order Sturm Liouville boudary value problem and a nonlinear elliptic boundary value problem for the Lane–Emden–Fowler equation.
ISSN:1385-1292
1572-9281
DOI:10.1007/s11117-014-0317-1